Boba, here's a straight answer to the scenario you've described:It might not be the way you undertand it, but it is how it works physically. It's all relative. Most people don't understand much of what Einstein did. Is either photon actually moving faster than light? No.
https://www.physicscentral.com/experiment/askaphysicist/physics-answer.cfm?uid=20130130105151
And btw, having the photons moving toward, or away from each other, poses the exact same problem
Let's apply this formula to the case in your question, when v itself is equal to the speed of light c. In that case,
vrelative =2c/[1 + 1] = 2c/2 = c.
So the photons are not moving away from each other at twice the speed of light. Instead, their relative velocity is still just c.
